Information on Result #694950
Linear OA(27103, 531499, F27, 23) (dual of [531499, 531396, 24]-code), using construction X applied to Ce(22) ⊂ Ce(11) based on
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2714, 58, F27, 10) (dual of [58, 44, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2714, 64, F27, 10) (dual of [64, 50, 11]-code), using
- extended algebraic-geometric code AGe(F,53P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2714, 64, F27, 10) (dual of [64, 50, 11]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(27103, 265749, F27, 2, 23) (dual of [(265749, 2), 531395, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(27103, 48318, F27, 23, 23) (dual of [(48318, 23), 1111211, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |